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Finding the Fourth Proportional to 237,913.60, 356,936.28 and 109,869

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Solution

The fourth proportional to 237,913.60, 356,936.28 and 109,869 is: 164,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,913.60 : 356,936.28 = 109,869 : x
  2. Step 2: Convert to fraction form
    237,913.60/356,936.28 = 109,869/x
  3. Step 3: Cross multiply
    237,913.60x = 356,936.28 × 109,869
  4. Step 4: Simplify right side
    237,913.60x = 39,216,232,147.32
  5. Step 5: Solve for x
    x = 39,216,232,147.32/237,913.60
  6. Step 6: Final answer
    x = 164,833.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.